We prove that the functor of noncommutative deformations of every flipping or flopping
irreducible rational curve in a 3-fold is representable, and hence, we associate to every such …

Noncommutative Deformation Theory is aimed at mathematicians and physicists studying
the local structure of moduli spaces in algebraic geometry. This book introduces a general …

We provide a prorepresenting object for the noncommutative derived deformation problem
of deforming a module X over a differential graded algebra. Roughly, we show that the …

This is an expository survey article on compound Du Val (cDV) singularities, with emphasis
on recent homological approaches, including: noncommutative resolutions, tilting theory …

arXiv:2410.21500v1 [math.AG] 28 Oct 2024 Page 1 arXiv:2410.21500v1 [math.AG] 28 Oct 2024
Noncommutative Singularity Theory Gavin Brown and Michael Wemyss Abstract. This is an …

This thesis is concerned with D-branes in topological string theory, focusing on the
description of B-type D-branes in topological Landau-Ginzburg models. Such D-branes are …

This book is written to make the audience competent to read the book Mathematical Models
in Science by OA Laudal (Laudal, 2021). That book is based on noncommutative algebraic …

This work formally introduces and starts investigating the structure of matrix polynomial
algebra extensions of a coefficient algebra by (elementary) matrix-variables over a ground …

Let X be a scheme over an algebraically closed field k, and let $ x\in\operatorname {Spec}
R\subseteq X $ be a closed point corresponding to the maximal ideal $\mathfrak …

In this paper we generalize the commutative generalized Massey products to the
noncommutative deformation theory given by OA Laudal. We give an example illustrating …